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Finding the Fourth Proportional to 7,798.82, 10,761.80 and 4,261.28

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Solution

The fourth proportional to 7,798.82, 10,761.80 and 4,261.28 is: 5,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.82 : 10,761.80 = 4,261.28 : x
  2. Step 2: Convert to fraction form
    7,798.82/10,761.80 = 4,261.28/x
  3. Step 3: Cross multiply
    7,798.82x = 10,761.80 × 4,261.28
  4. Step 4: Simplify right side
    7,798.82x = 45,859,043.10
  5. Step 5: Solve for x
    x = 45,859,043.10/7,798.82
  6. Step 6: Final answer
    x = 5,880.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.